Abus and a car leave from the same city traveling in opposite directions. the bus leaves 2 hours before the car does. the bus travels at a steady speed of 50 mph while the car travels at 70 mph. after how many hours will the bus and car be 800 miles apart?

if h represents the number of hours the bus travels, then which of the following expressions represents the number of miles the car travels?

H=number of hours the bus travels
(h-2)=number of hours the car travels

speed=distance/time  ⇒distance=speed x time

If h represent the number of hours the bus travels, the number of miles the car travels will be:
distance=speed x time

Data:
speed=70 mph
time=(h-2)

Distance : 70(h-2)

Answer ₂= the following expressions represents the number of miles the car travels:  70(h-2)            or      (70h-140)

We can suggest the following equation if we want to find out the number of hours spent, when the bus and car are 800 miles apart.
50h+70(h-2)=800

50h+70h-140=800
120h=800+140
120h=940
h= 940/120
h=7.833...≈7.83

7.83 hours after the bus left the city, the car and the bus will be 800 miles apart.

Hello!

the answer is:

the answer is:

why?

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!